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Simplifying 2(x + -1) + 3 = x + 3 + -1(x + -2) Reorder the terms: 2(-1 + x) + 3 = x + 3 + -1(x + -2) (-1 * 2 + x * 2) + 3 = x + 3 + -1(x + -2) (-2 + 2x) + 3 = x + 3 + -1(x + -2) Reorder the terms: -2 + 3 + 2x = x + 3 + -1(x + -2) Combine like terms: -2 + 3 = 1 1 + 2x = x + 3 + -1(x + -2) Reorder the terms: 1 + 2x = x + 3 + -1(-2 + x) 1 + 2x = x + 3 + (-2 * -1 + x * -1) 1 + 2x = x + 3 + (2 + -1x) Reorder the terms: 1 + 2x = 3 + 2 + x + -1x Combine like terms: 3 + 2 = 5 1 + 2x = 5 + x + -1x Combine like terms: x + -1x = 0 1 + 2x = 5 + 0 1 + 2x = 5 Solving 1 + 2x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 5 + -1 2x = 5 + -1 Combine like terms: 5 + -1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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